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Finding the Third Proportional to 228,860 and 478,646

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Solution

The third proportional to 228,860 and 478,646 is: 1,001,057.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,860 : 478,646 = 478,646 : x
  2. Step 2: Convert to fraction form
    228,860/478,646 = 478,646/x
  3. Step 3: Cross multiply
    228,860x = 478,646 × 478,646
  4. Step 4: Simplify right side
    228,860x = 229,101,993,316
  5. Step 5: Solve for x
    x = 229,101,993,316/228,860
  6. Step 6: Final answer
    x = 1,001,057.39

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.